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Finding the Fourth Proportional to 14,768.71, 20,356.51 and 10,456.27

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Solution

The fourth proportional to 14,768.71, 20,356.51 and 10,456.27 is: 14,412.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,768.71 : 20,356.51 = 10,456.27 : x
  2. Step 2: Convert to fraction form
    14,768.71/20,356.51 = 10,456.27/x
  3. Step 3: Cross multiply
    14,768.71x = 20,356.51 × 10,456.27
  4. Step 4: Simplify right side
    14,768.71x = 212,853,164.82
  5. Step 5: Solve for x
    x = 212,853,164.82/14,768.71
  6. Step 6: Final answer
    x = 14,412.44

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.